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14256700965 = 3251324370429
BaseRepresentation
bin11010100011100001…
…11111111000100101
31100210120111110002200
431101300333320211
5213144203412330
610314402325113
71013202646563
oct152160777045
940716443080
1014256700965
1160565994a1
12291a659799
131462859640
14993618a33
1558693ca60
hex351c3fe25

14256700965 has 24 divisors (see below), whose sum is σ = 26612509560. Its totient is φ = 7018683264.

The previous prime is 14256700919. The next prime is 14256700967. The reversal of 14256700965 is 56900765241.

It can be written as a sum of positive squares in 4 ways, for example, as 1976958369 + 12279742596 = 44463^2 + 110814^2 .

It is not a de Polignac number, because 14256700965 - 212 = 14256696869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14256700965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14256700967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12184630 + ... + 12185799.

It is an arithmetic number, because the mean of its divisors is an integer number (1108854565).

Almost surely, 214256700965 is an apocalyptic number.

14256700965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14256700965 is a deficient number, since it is larger than the sum of its proper divisors (12355808595).

14256700965 is a wasteful number, since it uses less digits than its factorization.

14256700965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24370453 (or 24370450 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 14256700965 in words is "fourteen billion, two hundred fifty-six million, seven hundred thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 24370429 73111287 121852145 219333861 316815577 365556435 950446731 1096669305 1584077885 2851340193 4752233655 14256700965